57137342976 has 600 divisors, whose sum is σ = 205008414336. Its totient is φ = 15780925440.

The previous prime is 57137342959. The next prime is 57137343013. The reversal of 57137342976 is 67924373175.

57137342976 is a `hidden beast` number, since 571 + 37 + 34 + 2 + 9 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 62995515 + ... + 62996421.

Almost surely, 2^57137342976 is an apocalyptic number.

57137342976 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57137342976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102504207168).

57137342976 is an abundant number, since it is smaller than the sum of its proper divisors (147871071360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57137342976 is an equidigital number, since it uses as much as digits as its factorization.

57137342976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 950 counting only the distinct ones).

The product of its digits is 6667920, while the sum is 54.

The spelling of 57137342976 in words is "fifty-seven billion, one hundred thirty-seven million, three hundred forty-two thousand, nine hundred seventy-six".